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Finding the Fourth Proportional to 153,852.99, 230,882.69 and 54,013.51

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Solution

The fourth proportional to 153,852.99, 230,882.69 and 54,013.51 is: 81,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,852.99 : 230,882.69 = 54,013.51 : x
  2. Step 2: Convert to fraction form
    153,852.99/230,882.69 = 54,013.51/x
  3. Step 3: Cross multiply
    153,852.99x = 230,882.69 × 54,013.51
  4. Step 4: Simplify right side
    153,852.99x = 12,470,784,485.14
  5. Step 5: Solve for x
    x = 12,470,784,485.14/153,852.99
  6. Step 6: Final answer
    x = 81,056.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.